What is the domain of ln(-x^2+5x+1) ?

The domain of ln(-x^2+5x+1) is -(-5+sqrt(29))/2 <x<(sqrt(29)+5)/2

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domain of ln(-x^2+5x+1)

domain

- \frac{- 5 + 29}{2} < x < \frac{29 + 5}{2}

Interval Notation

(- \frac{- 5 + 29}{2}, \frac{29 + 5}{2})

Solution steps

Find positive values for logs:

\frac{- 29 + 5}{2} < x < \frac{29 + 5}{2}

The function domain

- \frac{- 5 + 29}{2} < x < \frac{29 + 5}{2}

What is the domain of ln(-x^2+5x+1) ?
The domain of ln(-x^2+5x+1) is -(-5+sqrt(29))/2 <x<(sqrt(29)+5)/2